P
Peter Kuchment
Researcher at Texas A&M University
Publications - 164
Citations - 9854
Peter Kuchment is an academic researcher from Texas A&M University. The author has contributed to research in topics: Quantum graph & Spectrum (functional analysis). The author has an hindex of 47, co-authored 163 publications receiving 9151 citations. Previous affiliations of Peter Kuchment include Wichita State University & University of Cambridge.
Papers
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Book
Introduction to Quantum Graphs
TL;DR: Quantum Graphs as discussed by the authors is a generalization of graph theory, where a graph is considered as a one-dimensional complex and equipped with a differential operator (the Hamiltonian).
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Quantum graphs: I. Some basic structures
TL;DR: A quantum graph as discussed by the authors is a graph equipped with a self-adjoint differential or pseudo-differential Hamiltonian, which is a special case of a combinatorial graph model.
Book
Floquet Theory for Partial Differential Equations
TL;DR: In this article, the authors introduce the concept of Holomorphic Fredholm operator functions, which are operators that depend holomorphically on a parameter and have been shown to be able to handle infinite-dimensional complex analysis problems.
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Reconstructions in limited-view thermoacoustic tomography
TL;DR: Three types of reconstruction methods are utilized: a filtered backprojection (FBP) approximate inversion, which is shown to work well for limited-view data, a local-tomography-type reconstruction that emphasizes sharp details (e.g., the boundaries of inclusions), and an iterative algebraic truncated conjugate gradient algorithm used in conjunction with FBP.
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Mathematics of thermoacoustic tomography
Peter Kuchment,Leonid Kunyansky +1 more
TL;DR: A survey of mathematical problems, techniques, and challenges arising in the Thermoacoustic (also called Photoacoustic or Optoacoustic) Tomography can be found in this paper.